Finite Group Databasebeta

← #25975567

Subgroups — #25975567

Order 11008.

1824 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148340C211yesmaximal, characteristic, complemented
2#19148329C211yesmaximal, characteristic
3#19147144C211yesmaximal, characteristic, complemented
4#19147140C211yesmaximal, characteristic, complemented
5#19147114C211yesmaximal, characteristic, complemented
6#19147110C211yesmaximal, characteristic, complemented
7#19147077C211yesmaximal, characteristic, complemented
8#19147073C211yesmaximal, characteristic, complemented
9#19147032C211yesmaximal, characteristic, complemented
10#19147028C211yesmaximal, characteristic, complemented
11#19147004C211yesmaximal, characteristic, complemented
12#19146979C211yesmaximal, characteristic, complemented
13#19146976C211yesmaximal, characteristic, complemented
14#19146975C211yesmaximal, characteristic, complemented
15#19146969C211yesmaximal, characteristic, complemented
16#19146951C211yesmaximal, characteristic, complemented
17#19146947C211yesmaximal, characteristic, complemented
18#19145120C211yesmaximal, characteristic, complemented
19#19144559C211yesmaximal, characteristic, complemented
20#19144550C211yesmaximal, characteristic, complemented
21#19144542C211yesmaximal, characteristic, complemented
22#19144534C211yesmaximal, characteristic, complemented
23#19144432C211yesmaximal, characteristic, complemented
24#19144419C211yesmaximal, characteristic, complemented
25#19144229C211yesmaximal, characteristic, complemented
26#465×D43C211yesmaximal, characteristic, complemented
27#19143449C211yesmaximal, characteristic, complemented
28#19143284C211yesmaximal, characteristic, complemented
29#19143187C211yesmaximal, characteristic, complemented
30#427×D43C211yesmaximal, characteristic, complemented
31C43×#3340C211yesmaximal, characteristic, complemented
32C2×SD16×D43C2211yescharacteristic
33C2×#13063331C2211yescharacteristic
34C22×C8×D43C2211yescharacteristic
35#14583617C2211yescharacteristic, complemented
36#14583612C2211yescharacteristic
37#14583610C2211yescharacteristic, complemented
38#14583607C2211yescharacteristic, complemented
39#14583599C2211yescharacteristic
40#14583596C2211yescharacteristic
41#14583595C2211yescharacteristic
42#14583593C2211yescharacteristic
43#14583590—21no—
44#14583590C2211yescharacteristic, complemented
45#14583589C2211yescharacteristic, complemented
46#14583588C2211yescharacteristic, complemented
47#14583585—21no—
48#14583583C2211yescharacteristic, complemented
49#14583579—21no—
50#14583579—21no—
51#14583574—21no—
52#14583573—21no—
53#14583552C2211yescharacteristic
54#14583549C2211yescharacteristic
55#14583542—21no—
56#14583538—21no—
57#14583526C2211yescharacteristic
58#14583526C2211yescharacteristic
59#14583513—21no—
60#14583513—21no—
61#14583506—21no—
62#14583499—21no—
63#14583472C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583453—21no—
66#14583448—21no—
67#14583432—21no—
68#14583427—21no—
69#14583408C2211yescharacteristic
70C22⋊Q8×D43C2211yescharacteristic
71#121×D43C2211yescharacteristic
72#14583379C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583375C2211yescharacteristic
75#14583371C2211yescharacteristic
76#117×D43C2211yescharacteristic
77#117×D43C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583305C2211yescharacteristic, complemented
81#14583305C2211yescharacteristic, complemented
82#14583301C2211yescharacteristic, complemented
83#14583299C2211yescharacteristic, complemented
84#14583296C2211yescharacteristic, complemented
85#14583242C2211yescharacteristic, complemented
86#14583241C2211yescharacteristic, complemented
87#14583240C2211yescharacteristic, complemented
88#14583240C2211yescharacteristic, complemented
89#14583239C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583235C2211yescharacteristic, complemented
93#14583233C2211yescharacteristic, complemented
94#14583233C2211yescharacteristic, complemented
95#14583231C2211yescharacteristic, complemented
96#14583231C2211yescharacteristic, complemented
97#14583228C2211yescharacteristic, complemented
98#14583227C2211yescharacteristic, complemented
99#14583226C2211yescharacteristic, complemented
100#14583224C2211yescharacteristic
101#14583223C2211yescharacteristic
102#14583223C2211yescharacteristic, complemented
103#14583221C2211yescharacteristic, complemented
104#14583220C2211yescharacteristic
105#14583219C2211yescharacteristic
106#14583219C2211yescharacteristic, complemented
107#14583216C2211yescharacteristic
108#14583215C2211yescharacteristic, complemented
109#14583214C2211yescharacteristic
110#14583213C2211yescharacteristic, complemented
111#14583211C2211yescharacteristic
112#14583211C2211yescharacteristic, complemented
113#14583208C2211yescharacteristic, complemented
114#14583207C2211yescharacteristic, complemented
115#14583206C2211yescharacteristic, complemented
116#14583205C2211yescharacteristic, complemented
117#14583202C2211yescharacteristic, complemented
118#14583200C2211yescharacteristic, complemented
119#14583199C2211yescharacteristic, complemented
120#14583197C2211yescharacteristic, complemented
121#14583193C2211yescharacteristic, complemented
122#14583187C2211yescharacteristic, complemented
123#14583186C2211yescharacteristic, complemented
124#14583182C2211yescharacteristic, complemented
125#14583181C2211yescharacteristic, complemented
126#14583178C2211yescharacteristic, complemented
127#14583148C2211yescharacteristic, complemented
128#14583147C2211yescharacteristic, complemented
129#14583144C2211yescharacteristic, complemented
130#14583143C2211yescharacteristic, complemented
131#14583131C2211yescharacteristic
132#14583130C2211yescharacteristic
133#14583129C2211yescharacteristic
134#14583129C2211yescharacteristic, complemented
135#14583128C2211yescharacteristic
136#14583128C2211yescharacteristic, complemented
137#14583127C2211yescharacteristic
138#14583126C2211yescharacteristic
139#14583125C2211yescharacteristic
140#14583125C2211yescharacteristic, complemented
141#14583002C2211yescharacteristic, complemented
142#14582999C2211yescharacteristic, complemented
143#14582997C2211yescharacteristic, complemented
144#14582996C2211yescharacteristic, complemented
145C4×#10621873C2211yescharacteristic, complemented
146SD16×Dic43C2211yescharacteristic, complemented
147#14582986C2211yescharacteristic, complemented
148#14582973C2211yescharacteristic, complemented
149#14582971C2211yescharacteristic, complemented
150#14582969C2211yescharacteristic, complemented
151#14582967C2211yescharacteristic, complemented
152C8×D172C2211yescharacteristic, complemented
153C8×C22⋊D43C2211yescharacteristic, complemented
154C8×C22⋊D43C2211yescharacteristic, complemented
155#14582942C2211yescharacteristic, complemented
156#14582942C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic, complemented
160#14582940C2211yescharacteristic, complemented
161#14582938C2211yescharacteristic
162#14582938C2211yescharacteristic
163#14582937C2211yescharacteristic, complemented
164#14582936C2211yescharacteristic
165#14582936C2211yescharacteristic
166#14582935C2211yescharacteristic, complemented
167#14582935C2211yescharacteristic, complemented
168#14582934C2211yescharacteristic
169#14582934C2211yescharacteristic
170#14582934C2211yescharacteristic, complemented
171#107×D43C2211yescharacteristic, complemented
172#107×D43C2211yescharacteristic, complemented
173C2×#13063257C2211yescharacteristic, complemented
174#106×D43C2211yescharacteristic
175#106×D43C2211yescharacteristic, complemented
176#106×D43C2211yescharacteristic, complemented
177#106×D43C2211yescharacteristic, complemented
178#14582924C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582906C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582902C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic
187#14582853C2211yescharacteristic
188C43×#556C2211yescharacteristic, complemented
189C43×#555C2211yescharacteristic
190C43×#498C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#485C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic
194C43×#482C2211yescharacteristic, complemented
195C43×#477C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic
198C43×#465C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic, complemented
201C43×#427C2211yescharacteristic, complemented
202C43×#427C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×Q8×D43C2311yescharacteristic
207C2×D4×D43—21no—
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C2×#10621873C2311yescharacteristic
211C2×#10621883C2311yescharacteristic
212C2×#10621884C2311yescharacteristic
213SD16×D43—24no—
214#13063331—24no—
215C2×#10621877C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C22×C43⋊C8C2311yescharacteristic
220C2×C8×D43—24no—
221C2×C8×D43C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063324—21no—
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063323—21no—
230#13063323—21no—
231#13063321—21no—
232#13063320—21no—
233#13063319—21no—
234#13063319—21no—
235#13063319—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063317—21no—
243#13063317C2311yescharacteristic
244#13063317C2311yescharacteristic
245#13063316—21no—
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063313—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311—21no—
259#13063310—21no—
260#13063310—21no—
261#13063310—21no—
262#13063310—21no—
263#13063310D411yescharacteristic
264#13063308—21no—
265#13063307—21no—
266#13063307—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307—21no—
271#13063307D411yescharacteristic
272#13063306—21no—
273#13063306—21no—
274#13063306—21no—
275#13063305—21no—
276#13063305C2311yescharacteristic
277#13063305C2311yescharacteristic
278#13063304C2311yescharacteristic
279#13063304C2311yescharacteristic
280#13063303—21no—
281#13063303—21no—
282#13063303—21no—
283#13063303D411yescharacteristic
284#13063302—21no—
285#13063302—21no—
286#13063302—21no—
287#13063302D411yescharacteristic
288#13063301—21no—
289#13063301—21no—
290#13063301—21no—
291#13063301—21no—
292#13063301—21no—
293#13063301C2311yescharacteristic
294#13063301C2311yescharacteristic
295#13063300C2311yescharacteristic
296#13063300C2311yescharacteristic
297#13063299C2311yescharacteristic
298#13063299C2311yescharacteristic
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063298—21no—
303#13063298D411yescharacteristic
304#13063297—21no—
305#13063297—21no—
306#13063297D411yescharacteristic
307#13063296—21no—
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063295—21no—
311#13063295D411yescharacteristic
312#13063293—21no—
313#13063293D411yescharacteristic
314Q8×Dic43C2311yescharacteristic
315C4×Dic86—21no—
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86—21no—
319C4×Dic86C2311yescharacteristic
320#13063290—21no—
321#13063290C2311yescharacteristic
322C4×D172—21no—
323C4×D172—21no—
324C4×D172—21no—
325C4×D172C2311yescharacteristic
326C4×D172C2311yescharacteristic
327D4×Dic43C2311yescharacteristic
328#13063287—21no—
329#13063287C2311yescharacteristic
330C4×C22⋊D43—21no—
331C4×C22⋊D43—21no—
332C4×C22⋊D43C2311yescharacteristic
333C4×C22⋊D43C2311yescharacteristic
334(C22⋊D43)⋊C4—21no—
335(C22⋊D43)⋊C4—21no—
336(C22⋊D43)⋊C4—21no—
337(C22⋊D43)⋊C4—21no—
338(C22⋊D43)⋊C4—21no—
339(C22⋊D43)⋊C4—21no—
340(C22⋊D43)⋊C4—21no—
341(C22⋊D43)⋊C4—21no—
342#13063284C2311yescharacteristic
343#13063284C2311yescharacteristic
344#13063283—21no—
345#13063283—21no—
346#13063283C2311yescharacteristic
347#13063283C2311yescharacteristic
348#13063283C2311yescharacteristic
349#13063283C2311yescharacteristic
350#13063283C2311yescharacteristic
351#13063283C2311yescharacteristic
352#13063282—21no—
353#13063282—21no—
354#13063282—21no—
355#13063282—21no—
356#13063282—21no—
357#13063282—21no—
358#13063282C2311yescharacteristic
359#13063281—21no—
360#13063281—21no—
361#13063281—21no—
362C2×C4⋊Dic43C2311yescharacteristic
363C2×C4⋊Dic43C2311yescharacteristic
364C4⋊C4×D43—21no—
365C4⋊C4×D43C2311yescharacteristic
366C4⋊C4×D43C2311yescharacteristic
367C4⋊C4×D43C2311yescharacteristic
368C4⋊C4×D43C2311yescharacteristic
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C2×(C2×D43)⋊C4—21no—
374C22⋊C4×D43—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C42×D43—21no—
380C42×D43—21no—
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429C22⋊(C43⋊C8)C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435#13063236C2311yescharacteristic
436#13063235C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C22×C8×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443#126×C43—21no—
444#126×C43—21no—
445#124×C43—21no—
446#124×C43—21no—
447#124×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43—21no—
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×Q8×C43—21no—
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461#117×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43C2×D411yescharacteristic
483C2×Q8×C43—21no—
484C2×Q8×C43—21no—
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43C2×D411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43C2411yescharacteristic
492C22×C4×C43C2411yescharacteristic
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43C2×D411yescharacteristic
499C2×C22⋊D43C2×D411yescharacteristic
500C2×C22⋊D43C2×D411yescharacteristic
501C2×C22⋊D43C2×D411yescharacteristic
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43C2×D411yescharacteristic
506#10621902—82no—
507Q8×D43—22no—
508Q8×D43—22no—
509#10621900—82no—
510D4×D43—22no—
511D4×D43—22no—
512D4×D43—82no—
513#10621898—22no—
514#10621898—22no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172C2×D411yescharacteristic
518C2×D172C2×D411yescharacteristic
519C2×D172C2411yescharacteristic
520C2×C4×D43—22no—
521C2×C4×D43—22no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43C2×D411yescharacteristic
534C2×C4×D43C2×D411yescharacteristic
535C2×C4×D43C2411yescharacteristic
536C2×C4×D43C2411yescharacteristic
537C2×C4×D43C2411yescharacteristic
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86C2×D411yescharacteristic
542C2×Dic86C2411yescharacteristic
543SD16×C43—22no—
544C2×C8×C43—22no—
545C2×C8×C43—22no—
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43C2×D411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43C2×D411yescharacteristic
572C22⋊C4×C43C2×D411yescharacteristic
573C42×C43—21no—
574C42×C43—21no—
575C42×C43—21no—
576C42×C43—21no—
577C42×C43—21no—
578C42×C43C2411yescharacteristic
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43C2×D411yescharacteristic
587C22⋊Dic43C2×D411yescharacteristic
588#10621884—22no—
589#10621883—22no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43C2411yescharacteristic
664#10621877—22no—
665C2×C43⋊C8—22no—
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670#10621873—22no—
671#10621872—22no—
672#10621872—22no—
673#10621872—22no—
674C8×D43—22no—
675C8×D43—22no—
676C8×D43—22no—
677C8×D43—22no—
678C8×D43#4114yescomplemented
679C23×C43—21no—
680C23×C43C22×D411yescharacteristic
681C23×C43C22×D411yescharacteristic
682C22×D43—22no—
683C22×D43—22no—
684C22×D43—21no—
685C22×D43—41no—
686C22×D43—42no—
687C22×D43—81no—
688C22×D43—81no—
689C22×D43C22×D411yescharacteristic
690C22×D43C22×D411yescharacteristic
691C22×D43C22×D411yescharacteristic
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—81no—
695Q8×C43—81no—
696D4×C43—21no—
697D4×C43—21no—
698D4×C43—41no—
699D4×C43—81no—
700D4×C43—81no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—81no—
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C2511yescharacteristic
718C22⋊D43—22no—
719C22⋊D43—22no—
720C22⋊D43—22no—
721C22⋊D43—41no—
722C22⋊D43—42no—
723C22⋊D43—42no—
724C22⋊D43—81no—
725C22⋊D43—81no—
726C22⋊D43—81no—
727C2×Dic43—22no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—81no—
736C2×Dic43—81no—
737C2×Dic43—81no—
738C2×Dic43C22×D411yescharacteristic
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743D172—22no—
744D172—22no—
745D172—21no—
746D172—21no—
747D172—42no—
748D172—81no—
749C4×D43—22no—
750C4×D43—21no—
751C4×D43—21no—
752C4×D43—21no—
753C4×D43—21no—
754C4×D43—22no—
755C4×D43—42no—
756C4×D43—42no—
757C4×D43—42no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43—81no—
766C4×D43C2×#4112yes—
767C4×D432−1+412yes—
768Dic86—22no—
769Dic86—21no—
770Dic86—21no—
771Dic86—42no—
772Dic86—81no—
773Dic86—81no—
774C8×C43—21no—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43C2×#4112yes—
778C43⋊C8—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8C2×#4112yes—
782#61263—431nomaximal, Sylow
783C22×C43—21no—
784C22×C43—21no—
785C22×C43—21no—
786C22×C43—21no—
787C22×C43—21no—
788C22×C43—21no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43C23×D411yescharacteristic
793C2×D43—21no—
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—44no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—41no—
804C2×D43—162no—
805C2×D43#54712yes—
806C2×D43#57712yes—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—21no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43—41no—
817C4×C43—41no—
818C4×C43C22×#4111yescharacteristic
819C4×C43C2×2−1+411yescharacteristic
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43—41no—
831Dic43#54712yes—
832#3495—431no—
833#3494—431no—
834#3350—431no—
835#3350—431no—
836#3348—431no—
837#3348—431no—
838#3346—431no—
839#3346—431no—
840#3343—431no—
841#3343—431no—
842#3340—431no—
843#3340D4311yescharacteristic, complemented
844#3337—431no—
845#3337—431no—
846#3337—431no—
847#3337—431no—
848#3335—431no—
849#3335—431no—
850#3163—431no—
851#3097—431no—
852#3096—431no—
853#3095—431no—
854#3094—431no—
855#3082—431no—
856#3081—431no—
857#3057—431no—
858C2×#465—431no—
859#2949—431no—
860#2929—431no—
861#2912—431no—
862C2×#427—431no—
863C2×C43—41no—
864C2×C43—41no—
865C2×C43—81no—
866C2×C43C2×#54711yescharacteristic
867C2×C43C2×#57711yescharacteristic
868C2×C43#358411yescharacteristic
869D43—22no—
870D43—22no—
871D43—41no—
872D43—81no—
873C22×SD16—431no—
874C2×#131—431no—
875C23×C8—431no—
876#556—431no—
877#556C2×D4311yescharacteristic, complemented
878#555—431no—
879#555C2×D4311yescharacteristic
880#554—431no—
881#554—431no—
882#553—431no—
883#553—431no—
884#553—431no—
885#553—431no—
886#552—431no—
887#552—431no—
888#552—431no—
889#552—431no—
890#552—861no—
891#552—861no—
892#551—861no—
893#551—861no—
894#551—861no—
895#551—861no—
896#547—431no—
897#547—431no—
898#546—861no—
899#546—861no—
900#544—431no—
901#544—431no—
902#542—861no—
903#542—861no—
904#541—861no—
905#540—861no—
906#536—431no—
907#535—431no—
908#533—861no—
909#532—861no—
910#529—861no—
911#529—861no—
912#525—431no—
913C2×C22⋊Q8—431no—
914C2×#121—431no—
915#520—431no—
916#520—431no—
917#519—431no—
918#518—431no—
919C2×#117—431no—
920C2×#117—431no—
921#501—431no—
922#501—431no—
923#501—431no—
924#501—431no—
925#499—431no—
926#499—431no—
927#498—431no—
928#498C2×D4311yescharacteristic, complemented
929#485—431no—
930#485—431no—
931#485—431no—
932#485—431no—
933#485—431no—
934#485—431no—
935#485C2×D4311yescharacteristic, complemented
936#485C2×D4311yescharacteristic, complemented
937#484—431no—
938#484—431no—
939#484—431no—
940#484—431no—
941#483—431no—
942#483—431no—
943#483—431no—
944#483—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482C2×D4311yescharacteristic
952#482C2×D4311yescharacteristic, complemented
953#481—431no—
954#481—431no—
955#481—431no—
956#481—431no—
957#480—431no—
958#480—431no—
959#480—431no—
960#480—431no—
961#479—431no—
962#479—431no—
963#479—431no—
964#479—431no—
965#478—431no—
966#478—431no—
967#478—431no—
968#478—431no—
969#477—431no—
970#477C2×D4311yescharacteristic, complemented
971#476—431no—
972#476—431no—
973#475—431no—
974#475—431no—
975#474—431no—
976#474C2×D4311yescharacteristic, complemented
977#468—431no—
978#468—431no—
979#468—431no—
980#468—431no—
981#465—431no—
982#465—431no—
983#465—431no—
984#465—431no—
985#465—431no—
986#465—431no—
987#465—431no—
988#465—431no—
989#465—431no—
990#465—431no—
991#465C2×D4311yescharacteristic
992#465C2×D4311yescharacteristic, complemented
993#440—431no—
994#440—431no—
995#440—431no—
996#440—431no—
997C4×SD16—431no—
998C4×SD16—431no—
999C4×SD16—431no—
1000C4×SD16C2×D4311yescharacteristic, complemented
1001#435—431no—
1002#435—431no—
1003#435—431no—
1004#435—431no—
1005C8×D4—431no—
1006C8×D4—431no—
1007C8×D4—431no—
1008C8×D4C2×D4311yescharacteristic, complemented
1009#428—431no—
1010#428—431no—
1011#428—431no—
1012#428—431no—
1013#428—431no—
1014#428—431no—
1015#428—431no—
1016#428—431no—
1017#427—431no—
1018#427—431no—
1019#427—431no—
1020#427—431no—
1021#427—431no—
1022#427—431no—
1023#427—431no—
1024#427—431no—
1025#427C2×D4311yescharacteristic, complemented
1026#427C2×D4311yescharacteristic, complemented
1027C2×#107—431no—
1028C2×#107—431no—
1029C2×#106—431no—
1030C2×#106—431no—
1031C2×#106—431no—
1032C2×#106—431no—
1033C2×#106—431no—
1034#424—431no—
1035#419—431no—
1036#419—431no—
1037#418—431no—
1038#418—431no—
1039C2×#103—431no—
1040C2×#102—431no—
1041#408—431no—
1042#407—431no—
1043#405—431no—
1044C43#6126311yescharacteristic, complemented, Sylow
1045C2×#41—431no—
1046C2×#41—861no—
1047C2×#41—861no—
1048C22×Q8—431no—
1049C22×D4—431no—
1050C22×D4—861no—
1051C23×C4—431no—
1052C2×SD16—431no—
1053C2×SD16—431no—
1054C2×SD16—431no—
1055C2×SD16—864no—
1056C2×SD16C22×D4311yescharacteristic
1057#131—864no—
1058C2×M16—431no—
1059C2×M16—431no—
1060C2×M16—431no—
1061C2×M16—431no—
1062C22×C8—431no—
1063C22×C8—431no—
1064C22×C8—431no—
1065C22×C8—431no—
1066C22×C8—431no—
1067C22×C8—431no—
1068C22×C8—864no—
1069C22×C8C22×D4311yescharacteristic
1070C22×C8C22×D4311yescharacteristic
1071C4⋊Q8—431no—
1072C4⋊Q8—431no—
1073C4⋊Q8—861no—
1074C4⋊Q8—861no—
1075C4⋊Q8—861no—
1076C4⋊Q8C22×D4311yescharacteristic
1077C4⋊Q8C22×D4311yescharacteristic
1078#127—861no—
1079#126—21no—
1080#126—21no—
1081#126—861no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#126—861no—
1086#126—861no—
1087#126—861no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#125—431no—
1092#125—431no—
1093#125—431no—
1094#125—431no—
1095#125—861no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#124—21no—
1104#124—21no—
1105#124—21no—
1106#124—861no—
1107#124—861no—
1108#124—861no—
1109#124—861no—
1110#124—861no—
1111#123—431no—
1112#123—431no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127C22⋊Q8—431no—
1128C22⋊Q8—431no—
1129C22⋊Q8—431no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8C22×D4311yescharacteristic
1148C22⋊Q8C22×D4311yescharacteristic
1149#121—21no—
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—431no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165#121C22×D4311yescharacteristic
1166#121C22×D4311yescharacteristic
1167#120—431no—
1168#120—431no—
1169#120—861no—
1170#120—861no—
1171C4×Q8—21no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—861no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8C22×D4311yescharacteristic
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—861no—
1188C4×D4—861no—
1189C4×D4—861no—
1190C4×D4—861no—
1191C4×D4—861no—
1192C4×D4—861no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4C22×D4311yescharacteristic
1202C4×D4C22×D4311yescharacteristic
1203#117—21no—
1204#117—431no—
1205#117—431no—
1206#117—431no—
1207#117—431no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117—861no—
1221#117—861no—
1222#117—861no—
1223#117—861no—
1224#117C22×D4311yescharacteristic
1225#117C22×D4311yescharacteristic
1226#117C22×D4311yescharacteristic
1227#117C22×D4311yescharacteristic
1228C2×C4⋊C4—431no—
1229C2×C4⋊C4—431no—
1230C2×C4⋊C4—431no—
1231C2×C4⋊C4—431no—
1232C2×C4⋊C4—431no—
1233C2×C4⋊C4—431no—
1234C2×C4⋊C4—431no—
1235C2×C4⋊C4—431no—
1236C2×C4⋊C4—431no—
1237C2×C4⋊C4—431no—
1238C2×C4⋊C4—861no—
1239C2×C22⋊C4—861no—
1240C2×C22⋊C4—861no—
1241C2×C22⋊C4—861no—
1242C2×C22⋊C4—861no—
1243C2×C22⋊C4—861no—
1244C2×C22⋊C4—861no—
1245C2×C42—861no—
1246C2×C42—861no—
1247#107—431no—
1248#107—431no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107—431no—
1254#107—431no—
1255#107—431no—
1256#107—431no—
1257#107—431no—
1258#107—431no—
1259#107C22×D4311yescharacteristic
1260#107C22×D4311yescharacteristic
1261#107C22×D4311yescharacteristic
1262#107C22×D4311yescharacteristic
1263#106—431no—
1264#106—431no—
1265#106—431no—
1266#106—431no—
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106—431no—
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106C22×D4311yescharacteristic
1279#106C22×D4311yescharacteristic
1280#106C22×D4311yescharacteristic
1281#106C22×D4311yescharacteristic
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8C22×D4311yescharacteristic
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103C22×D4311yescharacteristic
1297#103C22×D4311yescharacteristic
1298#103C22×D4311yescharacteristic
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102C22×D4311yescharacteristic
1309#102C22×D4311yescharacteristic
1310#102C22×D4311yescharacteristic
1311C22⋊C8—431no—
1312C22⋊C8—431no—
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8C22×D4311yescharacteristic
1318C22⋊C8C22×D4311yescharacteristic
1319#97—431no—
1320#97—431no—
1321C4×C8—431no—
1322C4×C8C22×D4311yescharacteristic
1323C24—431no—
1324C24—861no—
1325#41—862no—
1326#41—862no—
1327#41—3442no—
1328#41—3442no—
1329C2×Q8—21no—
1330C2×Q8—21no—
1331C2×Q8—431no—
1332C2×Q8—431no—
1333C2×Q8—861no—
1334C2×Q8—861no—
1335C2×Q8—861no—
1336C2×Q8—862no—
1337C2×Q8—862no—
1338C2×Q8C23×D4311yescharacteristic
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—431no—
1342C2×D4—431no—
1343C2×D4—431no—
1344C2×D4—431no—
1345C2×D4—431no—
1346C2×D4—431no—
1347C2×D4—431no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—862no—
1351C2×D4—862no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—3442no—
1358C2×D4D4×D4311yescharacteristic
1359C2×D4C23×D4311yescharacteristic
1360C22×C4—21no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—431no—
1364C22×C4—431no—
1365C22×C4—431no—
1366C22×C4—431no—
1367C22×C4—862no—
1368C22×C4—862no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4C23×D4311yescharacteristic
1384C22×C4C23×D4311yescharacteristic
1385SD16—22no—
1386SD16—862no—
1387SD16—862no—
1388SD16—862no—
1389M16—862no—
1390M16—862no—
1391M16—862no—
1392M16—862no—
1393C2×C8—22no—
1394C2×C8—22no—
1395C2×C8—431no—
1396C2×C8—434no—
1397C2×C8—431no—
1398C2×C8—431no—
1399C2×C8—431no—
1400C2×C8—862no—
1401C2×C8—862no—
1402C2×C8—862no—
1403C2×C8—862no—
1404C2×C8—862no—
1405C2×C8C23×D4311yescharacteristic
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—431no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4D4×D4311yescharacteristic
1455C4⋊C4C23×D4311yescharacteristic
1456C4⋊C4C23×D4311yescharacteristic
1457C4⋊C4C23×D4311yescharacteristic
1458C4⋊C4C23×D4311yescharacteristic
1459C4⋊C4C23×D4311yescharacteristic
1460C4⋊C4C23×D4311yescharacteristic
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—431no—
1471C22⋊C4—431no—
1472C22⋊C4—431no—
1473C22⋊C4—431no—
1474C22⋊C4—431no—
1475C22⋊C4—431no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4D4×D4311yescharacteristic
1502C22⋊C4D4×D4311yescharacteristic
1503C42—21no—
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—431no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42C23×D4311yescharacteristic
1521C23—21no—
1522C23—431no—
1523C23—431no—
1524C23—431no—
1525C23—862no—
1526C23—862no—
1527C23—861no—
1528C23—3441no—
1529C23—3441no—
1530C23—1721no—
1531C23—1722no—
1532C23C2×D4×D4311yescharacteristic
1533C23C2×D4×D4311yescharacteristic
1534Q8—21no—
1535Q8—21no—
1536Q8—81no—
1537Q8—81no—
1538Q8—862no—
1539Q8—861no—
1540Q8—861no—
1541Q8—3441no—
1542Q8—3441no—
1543Q8—1722no—
1544D4—21no—
1545D4—21no—
1546D4—41no—
1547D4—81no—
1548D4—81no—
1549D4—862no—
1550D4—862no—
1551D4—862no—
1552D4—862no—
1553D4—862no—
1554D4—861no—
1555D4—861no—
1556D4—3441no—
1557D4—3441no—
1558D4—3441no—
1559D4—3441no—
1560D4—1722no—
1561D4—1722no—
1562D4—1721no—
1563D4—1722no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—81no—
1576C2×C4—431no—
1577C2×C4—432no—
1578C2×C4—432no—
1579C2×C4—431no—
1580C2×C4—431no—
1581C2×C4—431no—
1582C2×C4—431no—
1583C2×C4—862no—
1584C2×C4—862no—
1585C2×C4—862no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—3441no—
1602C2×C4—3441no—
1603C2×C4—3441no—
1604C2×C4—3441no—
1605C2×C4—3441no—
1606C2×C4—3441no—
1607C2×C4—3441no—
1608C2×C4—1722no—
1609C2×C4—1722no—
1610C2×C4—1722no—
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C2×D4×D4311yescharacteristic
1614C2×C4C2×D4×D4311yescharacteristic
1615C2×C4C24×D4311yescharacteristic
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—432no—
1620C8—861no—
1621C8—861no—
1622C8—861no—
1623C8#41×D4312yes—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—432no—
1634C22—432no—
1635C22—861no—
1636C22—861no—
1637C22—861no—
1638C22—861no—
1639C22—861no—
1640C22—861no—
1641C22—861no—
1642C22—1724no—
1643C22—1721no—
1644C22—1721no—
1645C22—1721no—
1646C22—6882no—
1647C22C22×D4×D4311yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—432no—
1660C4—861no—
1661C4—861no—
1662C4—861no—
1663C4—861no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4—1721no—
1668C4—1721no—
1669C4—1721no—
1670C4—1721no—
1671C4C2×#41×D4311yescharacteristic
1672C42−1+4×D4311yescharacteristic
1673C2—41no—
1674C2—41no—
1675C2—81no—
1676C2—862no—
1677C2—862no—
1678C2—3441no—
1679C2—1721no—
1680C2#547×D4311yescharacteristic
1681C2#577×D4311yescharacteristic
1682C2#1914936411yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3340C2
socleC22×C43C23×D4
prime radical#19148329C2
hypercenter#3340D43
hypocenterC43#61263
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3340

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #19148340C2semidirect
3. #19147144C2semidirect
4. #19147140C2semidirect
5. #19147114C2semidirect
6. #19147110C2semidirect
7. #19147077C2semidirect
8. #19147073C2semidirect
9. #19147032C2semidirect
10. #19147028C2semidirect
11. #19147004C2semidirect
12. #19146979C2semidirect
13. #19146976C2semidirect
14. #19146975C2semidirect
15. #19146969C2semidirect
16. #19146951C2semidirect
17. #19146947C2semidirect
18. #19145120C2semidirect
19. #19144559C2semidirect
20. #19144550C2semidirect
21. #19144542C2semidirect
22. #19144534C2semidirect
23. #19144432C2semidirect
24. #19144419C2semidirect
25. #19144229C2semidirect
26. #465×D43C2semidirect
27. #19143449C2semidirect
28. #19143284C2semidirect
29. #19143187C2semidirect
30. #427×D43C2semidirect
31. C43×#3340C2semidirect
35. #14583617C22semidirect
37. #14583610C22semidirect
38. #14583607C22semidirect
44. #14583590C22semidirect
45. #14583589C22semidirect
46. #14583588C22semidirect
48. #14583583C22semidirect
78. #14583306C22semidirect
79. #14583306C22semidirect
80. #14583305C22semidirect
81. #14583305C22semidirect
82. #14583301C22semidirect
83. #14583299C22semidirect
84. #14583296C22semidirect
85. #14583242C22semidirect
86. #14583241C22semidirect
87. #14583240C22semidirect
88. #14583240C22semidirect
89. #14583239C22semidirect
90. #14583237C22semidirect
91. #14583236C22semidirect
92. #14583235C22semidirect
93. #14583233C22semidirect
94. #14583233C22semidirect
95. #14583231C22semidirect
96. #14583231C22semidirect
97. #14583228C22semidirect
98. #14583227C22semidirect
99. #14583226C22semidirect
102. #14583223C22semidirect
103. #14583221C22semidirect
106. #14583219C22semidirect
108. #14583215C22semidirect
110. #14583213C22semidirect
112. #14583211C22semidirect
113. #14583208C22semidirect
114. #14583207C22semidirect
115. #14583206C22semidirect
116. #14583205C22semidirect
117. #14583202C22semidirect
118. #14583200C22semidirect
119. #14583199C22semidirect
120. #14583197C22semidirect
121. #14583193C22semidirect
122. #14583187C22semidirect
123. #14583186C22semidirect
124. #14583182C22semidirect
125. #14583181C22semidirect
126. #14583178C22semidirect
127. #14583148C22semidirect
128. #14583147C22semidirect
129. #14583144C22semidirect
130. #14583143C22semidirect
134. #14583129C22semidirect
136. #14583128C22semidirect
140. #14583125C22semidirect
141. #14583002C22semidirect
142. #14582999C22semidirect
143. #14582997C22semidirect
144. #14582996C22semidirect
145. C4×#10621873C22semidirect
146. SD16×Dic43C22semidirect
147. #14582986C22semidirect
148. #14582973C22semidirect
149. #14582971C22semidirect
150. #14582969C22semidirect
151. #14582967C22semidirect
152. C8×D172C22semidirect
153. C8×C22⋊D43C22semidirect
154. C8×C22⋊D43C22semidirect
155. #14582942C22semidirect
156. #14582942C22semidirect
159. #14582940C22semidirect
160. #14582940C22semidirect
163. #14582937C22semidirect
166. #14582935C22semidirect
167. #14582935C22semidirect
170. #14582934C22semidirect
171. #107×D43C22semidirect
172. #107×D43C22semidirect
173. C2×#13063257C22semidirect
175. #106×D43C22semidirect
176. #106×D43C22semidirect
177. #106×D43C22semidirect
188. C43×#556C22semidirect
190. C43×#498C22semidirect
191. C43×#485C22semidirect
192. C43×#485C22semidirect
194. C43×#482C22semidirect
195. C43×#477C22semidirect
196. C43×#474C22semidirect
198. C43×#465C22semidirect
199. C4×SD16×C43C22semidirect
200. C8×D4×C43C22semidirect
201. C43×#427C22semidirect
202. C43×#427C22semidirect
678. C8×D43#41semidirect
843. #3340D43semidirect
877. #556C2×D43semidirect
928. #498C2×D43semidirect
935. #485C2×D43semidirect
936. #485C2×D43semidirect
952. #482C2×D43semidirect
970. #477C2×D43semidirect
976. #474C2×D43semidirect
992. #465C2×D43semidirect
1000. C4×SD16C2×D43semidirect
1008. C8×D4C2×D43semidirect
1025. #427C2×D43semidirect
1026. #427C2×D43semidirect
1044. C43#61263semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#191483402
#191483292
#191471442
#191471402
#191471142
#191471102
#191470772
#191470732
#191470322
#191470282
#191470042
#191469792
#191469762
#191469752
#191469692
#191469512
#191469472
#191451202
#191445592
#191445502
#191445422
#191445342
#191444322
#191444192
#191442292
#465×D432
#191434492
#191432842
#191431872
#427×D432
C43×#33402
#6126343